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Finding the Third Proportional to 80,910 and 129,267

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Solution

The third proportional to 80,910 and 129,267 is: 206,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,910 : 129,267 = 129,267 : x
  2. Step 2: Convert to fraction form
    80,910/129,267 = 129,267/x
  3. Step 3: Cross multiply
    80,910x = 129,267 × 129,267
  4. Step 4: Simplify right side
    80,910x = 16,709,957,289
  5. Step 5: Solve for x
    x = 16,709,957,289/80,910
  6. Step 6: Final answer
    x = 206,525.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.